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Finding the Third Proportional to 55,512,866 and 120,292,730

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Solution

The third proportional to 55,512,866 and 120,292,730 is: 260,666,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,512,866 : 120,292,730 = 120,292,730 : x
  2. Step 2: Convert to fraction form
    55,512,866/120,292,730 = 120,292,730/x
  3. Step 3: Cross multiply
    55,512,866x = 120,292,730 × 120,292,730
  4. Step 4: Simplify right side
    55,512,866x = 14,470,340,890,852,900
  5. Step 5: Solve for x
    x = 14,470,340,890,852,900/55,512,866
  6. Step 6: Final answer
    x = 260,666,435.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.